11855638144 has 128 divisors (see below), whose sum is σ = 28241498880. Its totient is φ = 4847124480.

The previous prime is 11855638133. The next prime is 11855638159. The reversal of 11855638144 is 44183655811.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 11855638094 and 11855638103.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13456584 + ... + 13457464.

It is an arithmetic number, because the mean of its divisors is an integer number (220636710).

Almost surely, 2^11855638144 is an apocalyptic number.

11855638144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11855638144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14120749440).

11855638144 is an abundant number, since it is smaller than the sum of its proper divisors (16385860736).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11855638144 is an equidigital number, since it uses as much as digits as its factorization.

11855638144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578 (or 1566 counting only the distinct ones).

The product of its digits is 460800, while the sum is 46.

The spelling of 11855638144 in words is "eleven billion, eight hundred fifty-five million, six hundred thirty-eight thousand, one hundred forty-four".